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Finding the Fourth Proportional to 118.43, 163.31 and 74.76

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Solution

The fourth proportional to 118.43, 163.31 and 74.76 is: 103.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.43 : 163.31 = 74.76 : x
  2. Step 2: Convert to fraction form
    118.43/163.31 = 74.76/x
  3. Step 3: Cross multiply
    118.43x = 163.31 × 74.76
  4. Step 4: Simplify right side
    118.43x = 12,208.68
  5. Step 5: Solve for x
    x = 12,208.68/118.43
  6. Step 6: Final answer
    x = 103.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.